Well-posedness of short time solutions and non-uniform dependence on the initial data for a shallow water wave model in critical Besov space
DOI10.1007/s00605-024-01959-xMaRDI QIDQ6617991
Changtai Zhou, Honglin Xiao, Shaoyong Lai
Publication date: 11 October 2024
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Besov spacenon-uniform continuous dependenceshallow water wave modelwell-posedness of short time solution
PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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